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arithmetic sequences


Olivia Ludolf

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So in an arithmetic sequence, each term differs (through addition and subtraction) from the previous by a common difference (D).

so therefore in an arithmetic sequence- a, b, c, ..., etc.

you can find d through,

b-a = c-b = D

Therefore,

(2k+3)-(k-1)=(7-k)-(2k+3)

2k+3-k+1=7-k-2k-3

k+4=4-3k

4k=0

k=0

Long way and you definitely wouldn't do this for every question, but I hope it helps you understand.

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